10021221222101 has 2 divisors, whose sum is σ = 10021221222102. Its totient is φ = 10021221222100.

The previous prime is 10021221222071. The next prime is 10021221222107. The reversal of 10021221222101 is 10122212212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7757478300625 + 2263742921476 = 2785225^2 + 1504574^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021221222101 - 2³⁸ = 9746343315157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10021221222101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021221222107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010610611050 + 5010610611051.

It is an arithmetic number, because the mean of its divisors is an integer number (5010610611051).

Almost surely, 2^{10021221222101} is an apocalyptic number.

It is an amenable number.

10021221222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021221222101 is an equidigital number, since it uses as much as digits as its factorization.

10021221222101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10021221222101 its reverse (10122212212001), we get a palindrome (20143433434102).

It can be divided in two parts, 10021 and 221222101, that added together give a palindrome (221232122).

The spelling of 10021221222101 in words is "ten trillion, twenty-one billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred one".